On the summability of a class of formal power series
DOI10.7153/mia-2022-25-68OpenAlexW4313184531MaRDI QIDQ5881603
Javier Sanz, Juan Rafael Sendra, Alberto Lastra Sedano
Publication date: 13 March 2023
Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/mia-2022-25-68
summabilityformal power seriesmoment differential equationsGevrey asymptotic expansionsproximate orders\(q\)-Gevrey asymptotics
Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On \(q\)-Gevrey asymptotics for singularly perturbed \(q\)-difference-differential problems with an irregular singularity
- Quasi-analyticity in Carleman ultraholomorphic classes
- Summability and fractional linear partial differential equations
- Log-convex sequences and nonzero proximate orders
- Multisummability of formal power series solutions of nonlinear meromorphic differential equations
- A new proof of summability of formal solutions of nonlinear meromorphic differential equations
- \(q\)-Gevrey asymptotic expansion and Jacobi theta function.
- Injectivity and surjectivity of the asymptotic Borel map in Carleman ultraholomorphic classes
- On complex singularity analysis for linear partial \(q\)-difference-differential equations using nonlinear differential equations
- Formal power series and linear systems of meromorphic ordinary differential equations
- Flat functions in Carleman ultraholomorphic classes via proximate orders
- From the Taylor series of analytic functions to their global analysis
- On Gevrey solutions of threefold singular nonlinear partial differential equations
- Summability in general Carleman ultraholomorphic classes
- Quasi-analyticity for functions of several variables
- Transseries for a class of nonlinear difference equations*
- Gevrey Order of Formal Power Series Solutions of Inhomogeneous Partial Differential Equations with Constant Coefficients
- Transformations de q-Borel–Laplace au moyen de la fonction thêta de Jacobi
- Analytic and Summable Solutions of Inhomogeneous Moment Partial Differential Equations
- Analytic Solutions of Moment Partial Differential Equations with Constant Coefficients
